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Finding the Third Proportional to 336,339 and 491,558.63

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Solution

The third proportional to 336,339 and 491,558.63 is: 718,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,339 : 491,558.63 = 491,558.63 : x
  2. Step 2: Convert to fraction form
    336,339/491,558.63 = 491,558.63/x
  3. Step 3: Cross multiply
    336,339x = 491,558.63 × 491,558.63
  4. Step 4: Simplify right side
    336,339x = 241,629,881,811.89
  5. Step 5: Solve for x
    x = 241,629,881,811.89/336,339
  6. Step 6: Final answer
    x = 718,411.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.